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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^(-2)
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Integral of sin(3x)
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Integral of logx
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Integral of x^2/(1+x)
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Identical expressions
- one /(x- nine)sqrtx
- 1 divide by (x minus 9) square root of x
- one divide by (x minus nine) square root of x
- 1/(x-9)√x
- 1/x-9sqrtx
- 1 divide by (x-9)sqrtx
- 1/(x-9)sqrtxdx
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Similar expressions
- 1/(x+9)sqrtx
Integral of 1/(x-9)sqrtx dx
The solution
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4 / | | ___ | \/ x | ----- dx | x - 9 | / 1
$$\int\limits_{1}^{4} \frac{\sqrt{x}}{x - 9}\, dx$$
Integral(sqrt(x)/(x - 9), (x, 1, 4))
The answer (Indefinite)
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/ | | ___ | \/ x / ___\ ___ / ___\ | ----- dx = C - 3*log\3 + \/ x / + 2*\/ x + 3*log\-3 + \/ x / | x - 9 | /
$$\int \frac{\sqrt{x}}{x - 9}\, dx = C + 2 \sqrt{x} + 3 \log{\left(\sqrt{x} - 3 \right)} - 3 \log{\left(\sqrt{x} + 3 \right)}$$
The graph
The answer
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2 - 3*log(2) - 3*log(5) + 3*log(4)
$$- 3 \log{\left(5 \right)} - 3 \log{\left(2 \right)} + 2 + 3 \log{\left(4 \right)}$$
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=
2 - 3*log(2) - 3*log(5) + 3*log(4)
$$- 3 \log{\left(5 \right)} - 3 \log{\left(2 \right)} + 2 + 3 \log{\left(4 \right)}$$
2 - 3*log(2) - 3*log(5) + 3*log(4)
Use the examples entering the upper and lower limits of integration.